//===-- nextafter implementation for x86 long double numbers ----*- C++ -*-===// // // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. // See https://llvm.org/LICENSE.txt for license information. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception // //===----------------------------------------------------------------------===// #ifndef LLVM_LIBC_SRC___SUPPORT_FPUTIL_X86_64_NEXTAFTERLONGDOUBLE_H #define LLVM_LIBC_SRC___SUPPORT_FPUTIL_X86_64_NEXTAFTERLONGDOUBLE_H #include "src/__support/macros/config.h" #include "src/__support/macros/properties/architectures.h" #if !defined(LIBC_TARGET_ARCH_IS_X86) #error "Invalid include" #endif #include "hdr/stdint_proxy.h" #include "src/__support/CPP/bit.h" #include "src/__support/FPUtil/FEnvImpl.h" #include "src/__support/FPUtil/FPBits.h" namespace LIBC_NAMESPACE_DECL { namespace fputil { LIBC_INLINE long double nextafter(long double from, long double to) { using FPBits = FPBits; FPBits from_bits(from); if (from_bits.is_nan()) return from; FPBits to_bits(to); if (to_bits.is_nan()) return to; if (from == to) return to; // Convert pseudo subnormal number to normal number. if (from_bits.get_implicit_bit() == 1 && from_bits.is_subnormal()) { from_bits.set_biased_exponent(1); } using StorageType = FPBits::StorageType; constexpr StorageType FRACTION_MASK = FPBits::FRACTION_MASK; // StorageType int_val = from_bits.uintval(); if (from == 0.0l) { // +0.0 / -0.0 from_bits = FPBits::min_subnormal(from > to ? Sign::NEG : Sign::POS); } else if (from < 0.0l) { if (to < from) { // toward -inf if (from_bits == FPBits::max_subnormal(Sign::NEG)) { // We deal with normal/subnormal boundary separately to avoid // dealing with the implicit bit. from_bits = FPBits::min_normal(Sign::NEG); } else if (from_bits.get_mantissa() == FRACTION_MASK) { from_bits.set_mantissa(0); // Incrementing exponent might overflow the value to infinity, // which is what is expected. Since NaNs are handling separately, // it will never overflow "beyond" infinity. from_bits.set_biased_exponent(from_bits.get_biased_exponent() + 1); if (from_bits.is_inf()) raise_except_if_required(FE_OVERFLOW | FE_INEXACT); return from_bits.get_val(); } else { from_bits = FPBits(StorageType(from_bits.uintval() + 1)); } } else { // toward +inf if (from_bits == FPBits::min_normal(Sign::NEG)) { // We deal with normal/subnormal boundary separately to avoid // dealing with the implicit bit. from_bits = FPBits::max_subnormal(Sign::NEG); } else if (from_bits.get_mantissa() == 0) { from_bits.set_mantissa(FRACTION_MASK); // from == 0 is handled separately so decrementing the exponent will not // lead to underflow. from_bits.set_biased_exponent(from_bits.get_biased_exponent() - 1); return from_bits.get_val(); } else { from_bits = FPBits(StorageType(from_bits.uintval() - 1)); } } } else { if (to < from) { // toward -inf if (from_bits == FPBits::min_normal(Sign::POS)) { from_bits = FPBits::max_subnormal(Sign::POS); } else if (from_bits.get_mantissa() == 0) { from_bits.set_mantissa(FRACTION_MASK); // from == 0 is handled separately so decrementing the exponent will not // lead to underflow. from_bits.set_biased_exponent(from_bits.get_biased_exponent() - 1); return from_bits.get_val(); } else { from_bits = FPBits(StorageType(from_bits.uintval() - 1)); } } else { // toward +inf if (from_bits == FPBits::max_subnormal(Sign::POS)) { from_bits = FPBits::min_normal(Sign::POS); } else if (from_bits.get_mantissa() == FRACTION_MASK) { from_bits.set_mantissa(0); // Incrementing exponent might overflow the value to infinity, // which is what is expected. Since NaNs are handling separately, // it will never overflow "beyond" infinity. from_bits.set_biased_exponent(from_bits.get_biased_exponent() + 1); if (from_bits.is_inf()) raise_except_if_required(FE_OVERFLOW | FE_INEXACT); return from_bits.get_val(); } else { from_bits = FPBits(StorageType(from_bits.uintval() + 1)); } } } if (!from_bits.get_implicit_bit()) raise_except_if_required(FE_UNDERFLOW | FE_INEXACT); return from_bits.get_val(); } } // namespace fputil } // namespace LIBC_NAMESPACE_DECL #endif // LLVM_LIBC_SRC___SUPPORT_FPUTIL_X86_64_NEXTAFTERLONGDOUBLE_H